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Formulate the double-pendulum problem illustrated by fig (1.4) , in terms of the Hamiltonian and Hamiltonian's equations of motion. It is suggested that you find the Hamiltonian both directly from L and Eq(8.27)
A coin is tossed upward with an initial speed of 7.5 m/s2, What is the total time it is in the air before returning yo it's releasing point
Jeff of the Jungle swings on a vine that is 7.20 long. At the bottom of the swing, just before hitting the tree, Jeff's linear speed is 8.50. Find the magnitude of his tangential acceleration
The resolving power of a microscope depends on the wavelength used. If you wanted to "see" an atom, a wavelength of approximately 1 × 10-11 m would be required.
A bungee cord is stretched between two poles with a force of 382 N. The length of the cord is 36 meters and it has a mass of 3 kg. What is the velocity of a wave on this bungee cord
Four moles of an ideal gas undergo a reversible isothermal expansion from volume V1 to volume V2 = 5V1 at temperature T = 400K. Find the entropy change of the gas
Two cylindrical bars, each with diameter of 2.50 cm, are welded together end-to-end. One of the original bars is copper and is 0.360 m long, What is the resistance between the ends of the welded bar at 20 oC
Assume the magnitude of the charge of particle is 100 mC, its mass is 0.03 g and its velocity is 2000 m/s, What is its radius of curvature of particle in the magnetic field
A 12.6 g CD with a radius of 6.16 cm rotates with an angular speed of 31.3 rad/s. What is its kinetic energy, What angular speed must the CD have
A gallon of gasoline contains about 1.3x10^8 joules of energy. A 2000-kg car traveling 20 m/s skids to a stop. Estimate how much gasoline it will take to bring the car back to the original speed
Two pucks, A and B, are on an air hockey table. Puck A is moving with an initial velocity of 5.5m/s Eastward and Puck B is at rest and East of Puck A. Find the final speed of both pucks
Squeaky the balloon has been living large (diameter = 25 m) high above Santa ana college, where T= -20 Degree C, What is the air pressure at this point
A box of mass 5 Kg is connected by a massless rope to a 10.0 Kg. A force of 60.0 N is applied to the 5 Kg. What is the tension in the rope connecting the 2 masses
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